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Finding the Third Proportional to 39,961.50 and 60,045

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Solution

The third proportional to 39,961.50 and 60,045 is: 90,221.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,961.50 : 60,045 = 60,045 : x
  2. Step 2: Convert to fraction form
    39,961.50/60,045 = 60,045/x
  3. Step 3: Cross multiply
    39,961.50x = 60,045 × 60,045
  4. Step 4: Simplify right side
    39,961.50x = 3,605,402,025
  5. Step 5: Solve for x
    x = 3,605,402,025/39,961.50
  6. Step 6: Final answer
    x = 90,221.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.